Pertanyaan
Diketahui tan a = 3/4 , tan b =8/15 a dan b sudut lancip. Nilai sin a cos b - cos a sin b adalah...
A. 13/85
B. 36/85
C. 60/85
D. 77/85
E. 84/85
Pakai caranya yaa
A. 13/85
B. 36/85
C. 60/85
D. 77/85
E. 84/85
Pakai caranya yaa
Ditanyakan oleh: USER9618
206 Dilihat
206 Jawaban
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Jawaban (206)
trigonometri
tanA = 3/4= y/x --> triple pitagoras x,y,r = 3,4,5
sin A = y/r = 3/5
cos A = x/r = 4/5
tanB = 8/15 = y/x ---> triple pitagoras x,y,r =15,8 17
sinB = y/r =8/17
cos B = x/r = 15/17
sin A cos B - cos A sin B = (3/5)(15/17) - (4/5)(8/17) = 45/85-32/85
sin A cos B - cos A sin B = 13/85
tanA = 3/4= y/x --> triple pitagoras x,y,r = 3,4,5
sin A = y/r = 3/5
cos A = x/r = 4/5
tanB = 8/15 = y/x ---> triple pitagoras x,y,r =15,8 17
sinB = y/r =8/17
cos B = x/r = 15/17
sin A cos B - cos A sin B = (3/5)(15/17) - (4/5)(8/17) = 45/85-32/85
sin A cos B - cos A sin B = 13/85